A unified view on common fixed point theorems for Ciric quasi-contraction maps

被引：5
作者：
He, Fei [1 ]
Nan, Xiao-Ya [1 ]
机构：
[1] Inner Mongolia Univ, Sch Math Sci, Hohhot 010021, Peoples R China
来源：
FIXED POINT THEORY AND APPLICATIONS | 2015年
基金：
中国国家自然科学基金;
关键词：
common fixed point; Ciric quasi-contraction; dislocated quasi-metric spaces; Q-function;
D O I：
10.1186/s13663-015-0364-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is to unify and to generalize some common fixed point results in metric spaces with a Q-function (or a w-distance) and the related results in dislocated metric spaces (also called metric-like spaces). First in the setting of dislocated quasi-metric spaces we introduce the notion of weak 0-sigma-completeness which is weaker than 0-sigma-completeness. By using the new type of completeness, we establish some common fixed point theorems for two self-mappings satisfying a nonlinear contractive condition of Ciric type. Our results unify and generalize many well-known common fixed point theorems. Finally, we give some further applications of our main results.
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页数：17
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